Graphing and Functions
What is a Function: Basics and Key Terms
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All Videos in Graphing and Functions
- 1. What is a Function: Basics and Key Terms
- 2. Graphing Basic Functions
- 3. Compounding Functions and Graphing Functions of Functions
- 4. Understanding and Graphing the Inverse Function
- 5. Polynomials Functions: Properties and Factoring
- 6. Polynomials Functions: Exponentials and Simplifying
- 7. Exponentials, Logarithms & the Natural Log
- 8. Slopes and Tangents on a Graph
- 9. Equation of a Line Using Point-Slope Formula
- 10. Horizontal and Vertical Asymptotes
- 11. Implicit Functions
Continuity in a Function
How to Solve Visualizing Geometry Problems
Understanding Radians and Degrees on a Scientific Calculator
Limits
Using a Graph to Define Limits
All Videos in Limits
Rate of Change
Velocity and the Rate of Change
All Videos in Rate of Change
Calculating Derivatives and Derivative Rules
Using Limits to Calculate the Derivative
All Videos in Calculating Derivatives and Derivative Rules
- 1. Using Limits to Calculate the Derivative
- 2. The Linear Properties of a Derivative
- 3. Calculating Derivatives of Trigonometric Functions
- 4. Calculating Derivatives of Polynomial Equations
- 5. Calculating Derivatives of Exponential Equations
- 6. Using the Chain Rule to Differentiate Complex Functions
- 7. Differentiating Factored Polynomials: Product Rule and Expansion
- 8. When to Use the Quotient Rule for Differentiation
- 9. Understanding Higher Order Derivatives Using Graphs
- 10. Calculating Higher Order Derivatives
- 11. How to Find Derivatives of Implicit Functions
- 12. How to Calculate Derivatives of Inverse Trigonometric Functions
- 13. Applying the Rules of Differentiation to Calculate Derivatives
Graphing Derivatives and L'Hopital's Rule
Graphing the Derivative from Any Function
All Videos in Graphing Derivatives and L'Hopital's Rule
- 1. Graphing the Derivative from Any Function
- 2. Non Differentiable Graphs of Derivatives
- 3. How to Determine Maximum and Minimum Values of a Graph
- 4. Using Differentiation to Find Maximum and Minimum Values
- 5. Concavity and Inflection Points on Graphs
- 6. Understanding Concavity and Inflection Points with Differentiation
- 7. Data Mining: Function Properties From Derivatives
- 8. Data Mining: Identifying Functions From Derivative Graphs
- 9. What is L'Hopital's Rule?
- 10. Applying L'Hopital's Rule in Simple Cases
- 11. Applying L'Hopital's Rule in Complex Cases
Applications of Derivatives
Linearization of Functions
All Videos in Applications of Derivatives
Area Under the Curve and Integrals
Summation Notation and Mathematical Series
All Videos in Area Under the Curve and Integrals
- 1. Summation Notation and Mathematical Series
- 2. How to Use Riemann Sums for Functions and Graphs
- 3. How to Identify and Draw Left, Right and Middle Sums
- 4. What is the Trapezoid Rule?
- 5. How to Find the Limits of Riemann Sums
- 6. Definite Integrals: Definition
- 7. How to Use Riemann Sums to Calculate Integrals
- 8. Linear Properties of Definite Integrals
- 9. Average Value Theorem
- 10. The Fundamental Theorem of Calculus
- 11. Indefinite Integrals as Anti Derivatives
- 12. How to Find the Arc Length of a Function
Integration and Integration Techniques
Calculating Integrals of Simple Shapes
All Videos in Integration and Integration Techniques
- 1. Calculating Integrals of Simple Shapes
- 2. Anti-Derivatives: Calculating Indefinite Integrals of Polynomials
- 3. How to Calculate Integrals of Trigonometric Functions
- 4. How to Calculate Integrals of Exponential Functions
- 5. How to Solve Integrals Using Substitution
- 6. Substitution Techniques for Difficult Integrals
- 7. Using Integration By Parts
- 8. Partial Fractions: How to Factorize Fractions with Quadratic Denominators
- 9. How to Integrate Functions With Partial Fractions
- 10. Understanding Trigonometric Substitution
- 11. How to Use Trigonometric Substitution to Solve Integrals
- 12. How to Solve Improper Integrals
Integration and Dynamic Motion
Differential Equations
Differential Notation in Physics
All Videos in Differential Equations
About This Course
Whether you're tackling calculus for the first time, studying for a big test or reviewing concepts you learned years ago, you'll find the information you need in Math 104. Dr. Erin Lennon has taught math at just about every level and knows how to break a complex concept down into its basic components to make it easy to follow. Learn how to craft a function that shows what happens to someone who's shot out of a cannon, or calculate the velocity of your morning commute.
You can take free video quizzes to see what you've learned and what you need to review. Before you know it, you'll be throwing around terms like 'higher-order derivative' and 'intermediate value theorem' with confidence.
See what other students have had to say about this course:
- It really helped me understand something I've been struggling with for awhile!
- I think this is the best way to relate classroom teaching to our daily life!
Check out Math 104 and start learning calculus now!
How to Earn Real College Credit You Can Transfer
Math 104: Calculus prepares you to earn three college credits by taking the College Board's Calculus CLEP exam. For more details about earning credit, click here.
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Education Portal Instructors
Education Portal's 53 instructors bring a diverse array of experience and expertise to each course. From teaching philosophy in Athens, Greece, to exploring the mystery of genetics, each instructor is uniquely qualified to bring students the best online learning experience possible. Meet them now!
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Jessica Bayliss, M.S.
Jessica is our Director of Education and leads the development of Education Portal's free courses. She has 10 years of experience in education and online teaching. Her work with students of all age levels drives
her belief in the power of free online resources to make higher education more affordable and efficient. Jessica's favorite part of the day is
reading feedback from Education Portal's students. She has a bachelor's degree from the University of Illinois and a master's degree in
instructional technology from Texas A&M - Kingsville.
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Greg Chin, Ph.D.
Greg has taught genetics, molecular biology, and general biology to
high school, collegiate, and post-graduate students at Stanford University, the University of California, Los Angeles, Santa Clara
University and the Dolan DNA Learning Center at Cold Spring Harbor Laboratory. He has also taught science workshops for the general
public and led biology teacher enrichment workshops throughout the U.S. He received a B.S. in Genetics from the University of
California, Davis, and a Ph.D. from Stanford University. Find out how your genes work in Greg's introduction to genetics video lesson!
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Max Pfingsten, M.Ed.
Max has taught classics, history and philosophy
at a variety of levels at the Dikemes Academy in Athens, the Boulder Valley School District, University of Colorado at Boulder and
the Illinois Mathematics and Science Academy (IMSA). His work is noteworthy for its synthesis of technology and simulation with more
traditional teaching approaches. He received a B.A. in Classics from Depauw University, a M.A. in Classics from University of
Colorado at Boulder, and a M.Ed. from Jones International University. See Socrates come to life in Max's lesson on the life, death,
and philosophy of the great Socrates.
- Meet all 53 of our instructors
Contact Information
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The videos were a great study tool. I aced the CLEP exam and earned 3 college credits!
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